-7(x-6)-(6-9)=x

Solution for -7(x-6)-(6-9)=x equation:

Simplifying
-7(x + -6) + -1(6 + -9) = x

Reorder the terms:
-7(-6 + x) + -1(6 + -9) = x
(-6 * -7 + x * -7) + -1(6 + -9) = x
(42 + -7x) + -1(6 + -9) = x

Combine like terms: 6 + -9 = -3
42 + -7x + -1(-3) = x

Multiply -1 * -3
42 + -7x + 3 = x

Reorder the terms:
42 + 3 + -7x = x

Combine like terms: 42 + 3 = 45
45 + -7x = x

Solving
45 + -7x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
45 + -7x + -1x = x + -1x

Combine like terms: -7x + -1x = -8x
45 + -8x = x + -1x

Combine like terms: x + -1x = 0
45 + -8x = 0

Add '-45' to each side of the equation.
45 + -45 + -8x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -8x = 0 + -45
-8x = 0 + -45

Combine like terms: 0 + -45 = -45
-8x = -45

Divide each side by '-8'.
x = 5.625

Simplifying
x = 5.625